M185677 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	unknown	100000000	2000000000	1.3607	49.4361%	1.3607	49.4361%	49.4361%
PrimeNet	2⁴⁰	0.0000	55.0000%	2000	45000	0.0000	12.0881%	0.0000	60.4396%	5.4396%
GPU72	2⁴⁴	0.0000	59.0909%	3400	70000	0.0000	8.4206%	0.0001	62.5357%	3.4448%
Difference	-44	0.0000	-59.0909%	+99996600	+1999930000	+1.3607	+41.0156%	+1.3607	-13.0995%	-13.0995%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
185677	1114063	7	20.087	3 3	-	1	3	7.528e-13	7.415e-9	1.361e-8
185677	894340353515852039676479	24	79.565	2408322930454100507 2408322930454100507	2014-06-19	1	2408322930454100507	1,077,144	877,298,525	1.639e+9
185677	64167558325494827959208656543	29	95.696	172793502494910053370123 3 × 337474283 × 170673254426827	2020-05-23	337474283	170673254426827	5.447e+10	62,175	116,121

exponent	prime factors	composite factor	digits	bits*
185677	1114063 894340353515852039676479	996351497258930670878097224177	30	99.653
185677	1114063 64167558325494827959208656543	71486702530775744520719873534264209	35	115.783
185677	894340353515852039676479 64167558325494827959208656543	57387636797072099179978877868506789706174753946552 097	53	175.261
185677	1114063 894340353515852039676479 64167558325494827959208656543	63933442813056534028744808614822279660430164905957 668840111	59	195.348

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2017-05-26T18:28:59	kkmrkkblmbrbk	Manual testing	100000000	2000000000	12	-	skipped known factor: 1114063	-	-	1.361	-	-	41.910%

ECM factoring results:

Old Calculation Method

Total ECM effort:	12.957 GHz-days
Estimated T-Level:	28.680

Digits	B1	Curves	Complete	FacMiss
20	11000	752 / 100	7.520	0.052%
25	50000	752 / 280	2.686	6.785%
30	250000	471 / 640	0.736	47.878%

New Calculation Method

Total ECM effort:	12.957 GHz-days
Estimated T-Level:	28.680

Digits	B1	Complete	FacMiss
20	11000	48.315	0.000%
25	50000	6.520	0.147%
30	250000	0.666	51.374%
35	1000000	0.054	94.787%
40	3000000	0.004	99.649%

ECM Summary

B1	B2	factor	curves	GHz-days
		894340353515852039676479	1	0.00000e+0
50000	5000000		281	1.369
250000	25000000		418	10.18
250000	25000000	64167558325494827959208656543	25	0.609
250000	36000000		7	0.195
250000	38500000		21	0.602

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-06-19T16:32:00	TJAOI	Manual testing	50000	5000000						50	0.244
2014-06-19T16:32:00	TJAOI	Manual testing			894340353515852039676479	79.565		1		1	-
2014-12-19T13:15:00	TJAOI	Manual testing	50000	5000000						50	0.244
2015-06-05T09:21:00	TJAOI	Manual testing	50000	5000000						90	0.438
2016-04-29T14:19:30	TJAOI	Manual testing	50000	5000000						91	0.443
2017-09-01T10:35:02	TJAOI	Manual testing	250000	25000000						44	1.072
2019-03-07T06:02:42	King	No.1_FactorFinder	250000	25000000						3	0.073
2019-03-29T22:13:22	happy5214	Cosmic	250000	25000000						3	0.073
2019-05-07T15:09:09	Alex Kruppa	Laptop_OH	250000	25000000						3	0.073
2019-06-04T08:02:18	storm5510	M520_Arrandale	250000	25000000						3	0.073
2019-08-19T13:15:20	TJAOI	Manual testing	250000	25000000						88	2.143
2019-11-22T22:49:48	wazuma	G751	250000	25000000						3	0.073
2019-11-23T07:02:39	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-23T18:54:03	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-24T07:28:52	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-24T20:38:58	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-25T08:57:08	ATH	ec2-ECMCF	250000	25000000						3	0.073
2019-11-25T23:12:16	ATH	ec2-ECMCF	250000	25000000						3	0.073
2019-11-26T15:16:26	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-27T07:54:30	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-28T03:30:36	wazuma	G751	250000	25000000						3	0.073
2019-11-28T19:28:21	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-29T14:53:04	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-30T13:20:35	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-01T12:49:04	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-02T13:10:05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-03T15:53:13	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-04T18:21:17	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-05T20:57:30	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-06T23:54:26	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-08T06:41:10	Ducho_YYZ	oracleSW2	250000	25000000						3	0.073
2019-12-09T07:18:17	Ducho_YYZ	oracleAU	250000	25000000						3	0.073
2019-12-10T05:51:51	Ducho_YYZ	oracleSW2	250000	25000000						3	0.073
2019-12-11T00:48:45	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-12T01:00:37	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-13T06:57:57	Ducho_YYZ	oracleDE	250000	25000000						3	0.073
2019-12-14T04:37:02	kracker	O0	250000	25000000						3	0.073
2019-12-15T04:58:36	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-16T07:15:06	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-17T10:02:39	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-18T19:27:13	Ducho_YYZ	oracleDE	250000	25000000						3	0.073
2019-12-19T19:48:54	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-21T07:26:05	Ducho_YYZ	oracleAU2	250000	25000000						3	0.073
2019-12-22T10:25:14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-24T02:54:47	Ducho_YYZ	oracleJP	250000	25000000						3	0.073
2019-12-25T07:27:02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-27T07:00:44	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-29T04:27:19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-31T02:38:23	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-02T02:52:11	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-04T05:52:52	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-06T08:14:05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-08T13:35:00	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-10T17:01:44	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-12T22:40:55	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-15T03:24:53	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-17T08:14:48	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-19T16:01:16	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-22T01:04:34	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-24T08:08:51	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-26T19:23:01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-29T10:01:56	-Anonymous-	aws-nano	250000	25000000						3	0.073
2020-02-01T04:01:28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-04T04:15:30	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-07T12:00:51	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.073
2020-02-10T22:59:55	-Anonymous-	aws-nano	250000	25000000						3	0.073
2020-02-14T08:18:16	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-18T04:45:26	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-21T08:05:42	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-25T04:42:53	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-28T06:36:25	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-03T13:56:15	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-09T05:29:30	Naegi Makoto	1700	250000	25000000						3	0.073
2020-03-14T09:31:10	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-19T19:59:29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-04-18T16:16:36	Oliver Kruse	Melissa	250000	25000000						3	0.073
2020-04-18T19:53:04	Team_Inspector	SpudBoy4	250000	25000000						3	0.073
2020-05-01T05:41:55	Greg	azure2	250000	25000000						3	0.073
2020-05-05T22:20:45	Greg Hogan	azure2	250000	25000000						3	0.073
2020-05-23T09:11:34	nordi	sweet16	250000	25000000	64167558325494827959208656543	95.696	25	2	5844059314184557	25	0.609
2020-10-17T23:05:05	alan145	Bear	250000	25000000						7	0.171
2020-11-02T04:56:50	nordi	sweet16	250000	25000000						7	0.171
2020-12-01T17:05:37	ZacHFX	2700X	250000	25000000						7	0.171
2021-01-20T20:34:05	arachnotron	DellLaptop	250000	25000000						7	0.171
2021-02-14T23:30:06	mnd9	consult	250000	25000000						7	0.171
2021-04-13T21:41:56	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.171
2021-05-24T03:22:02	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.171
2021-07-16T21:22:04	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.171
2021-08-17T20:20:37	nordi	sweet16	250000	38500000						7	0.201
2021-09-25T01:58:53	Dylan Delgado	colab	250000	38500000						7	0.201
2021-11-07T23:49:53	mnd9	f4	250000	25000000						7	0.171
2022-01-21T11:52:41	Klaus Nordmann	no1	250000	36000000						7	0.195
2022-03-22T03:16:11	Dylan Delgado	colab	250000	38500000						7	0.201
2022-05-19T22:38:07	Corey	tab	250000	25000000						7	0.171

0M	<	10¹⁰	All tracked exponents
0M	<	2³²	GPU TF range
0M	<	1000M	PrimeNet range
0M	<	193M	low-PrimeNet, low-res
0M	<	385M	low-PrimeNet, high-res
50M	<	146M	PrimeNet wavefront